The number 3636
3636 is a composite number with 18 divisors. Its prime factorisation is × × 101. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212 … 3636.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3636: a Harshad number: divisible by its digit sum 18.
- 2
3636 is composite. Its prime factorisation is
- 3
The divisors add up to 9282; without 3636 itself that is 5646, so 3636 is abundant (5646 is more than 3636). Euler's totient φ(3636) = 1200 numbers up to 3636 share no factor with it.
- 4
The digits of 3636 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 17 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3636 = 2^{2} \times 3^{2} \times 101 \]3636 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 9282 |
| Euler totient φ(n) | 1200 |
| Square | 13220496 |
| Cube | 48069723456 |
| Square root | 60.299254 (= 6√101) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 17 |
| Scientific notation | 3.636 × |
3636 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and thirty-six |
| Roman numerals | MMMDCXXXVI |
| Binary (base 2) | 111000110100 |
| Octal (base 8) | 7064 |
| Hexadecimal (base 16) | E34 |
| Base 3 | 11222200 |
| As time | 3636 seconds = 1 h 0 min 36 s |
Is 3636 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3636 ÷ 2 = 1818) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3636 ÷ 3 = 1212) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3636 ÷ 4 = 909) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3636 ÷ 6 = 606) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3636 ÷ 9 = 404) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3636 ÷ 12 = 303) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3636 a prime number?
No. 3636 = × × 101, so it is divisible by 2.
What are the factors of 3636?
1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636.
What is 3636 in binary?
111000110100 (hexadecimal E34, octal 7064).
What is the square root of 3636?
About 60.2993, exactly 6√101.
What is 3636 in Roman numerals?
MMMDCXXXVI.
Is 3636 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3636?
3636 is a Harshad number: divisible by its digit sum 18.